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Solve 2x + 6 = 28

The solution of 2x + 6 = 28 is x = 11.

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The lines y = 2x + 6 and y = 28 meet at x = 116810121416152025303540x = 11y = 2x + 6y = 28
The lines y = 2x + 6 and y = 28 meet at x = 11. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    2x+6=282x + 6 = 28
  2. 2

    Subtract 6 from both sides:

    2x+6−6=28−6 ⇒ 2x=222x + 6 - 6 = 28 - 6 \ \Rightarrow\ 2x = 22
  3. 3

    Divide both sides by 2:

    2x2=222 ⇒ x=11\frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    2⋅11+6=22+6=28✓2\cdot11 + 6 = 22 + 6 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 28\ \Rightarrow\ x = 11 \]
\[ 2x + 6 = 28 \]
\[ 2x + 6 - 6 = 28 - 6 \ \Rightarrow\ 2x = 22 \]
\[ \frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11 \]
\[ 2\cdot11 + 6 = 22 + 6 = 28 \checkmark \]

Trying values of x in 2x + 6 = 28

x2x + 6Equals 28?
924no
1026no
1128yes
1230no
1332no

Questions

What is x in 2x + 6 = 28?

The solution of 2x + 6 = 28 is x = 11.

How do you solve 2x + 6 = 28?

Subtract 6 from both sides to get 2x = 22, then divide both sides by 2 to get x = 11.

How do I check the answer?

Replace x by 11: 2(11) + 6 = 28, which is 28.

Similar equations

    Solve 2x + 6 = 28: x = 11 (steps and check) | WordGPT